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Title:

Fast time evolution of matrix product states using the QR decomposition

Document type:
Zeitschriftenaufsatz
Author(s):
Unfried, Jakob; Hauschild, Johannes; Pollmann, Frank
Abstract:
We propose and benchmark a modified time-evolving block decimation algorithm that uses a truncation scheme based on the QR decomposition instead of the singular value decomposition (SVD). The modification reduces the scaling with the dimension of the physical Hilbert space d from d3 down to d2. Moreover, the QR decomposition has a lower computational complexity than the SVD and allows for highly efficient implementations on GPU hardware. In a benchmark simulation of a global quench in a quantum...     »
Journal title:
Physical Review B 2023-04
Year:
2023
Journal volume:
107
Journal issue:
15
Fulltext / DOI:
doi:10.1103/physrevb.107.155133
Publisher:
American Physical Society (APS)
E-ISSN:
2469-99502469-9969
Date of publication:
21.04.2023
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